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general-rule MCQ Questions for Class 10

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5 questions tagged with general-rule.

Question 1/5 Medium Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी ग्राफ के (x)-अक्ष कटान ((m,0)) और ((n,0)) हैं, तो शून्यकों का गुणनफल क्या होगा?

If the (x)-axis intersections of a graph are ((m,0)) and ((n,0)), what is the product of the zeroes?

Explanation opens after your attempt
Correct Answer

B. (mn)

Step 1

Concept

The zeroes are (m) and (n), so the product is (mn). Tip: the first coordinate of the intersection point is the zero.

Step 2

Why this answer is correct

The correct answer is B. (mn). The zeroes are (m) and (n), so the product is (mn). Tip: the first coordinate of the intersection point is the zero.

Step 3

Exam Tip

शून्यक (m) और (n) हैं, इसलिए गुणनफल (mn) है। टिप: कटान बिंदु का पहला निर्देशांक ही शून्यक है।

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Question 2/5 Expert Mathematics Chapter 1: Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

यदि \(\frac{p}{q}\) सरलतम रूप में है और \(q=2^m5^n\cdot 13^r\) जहाँ (r>0) है तो दशमलव प्रसार कैसा होगा?

If \(\frac{p}{q}\) is in lowest form and \(q=2^m5^n\cdot 13^r\), where (r>0), what type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

B. असांत आवर्तीNon-terminating recurring

Step 1

Concept

A positive power of (13) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Step 2

Why this answer is correct

The correct answer is B. असांत आवर्ती / Non-terminating recurring. A positive power of (13) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Step 3

Exam Tip

सरलतम हर में (13) की धनात्मक घात बची है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा।

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Question 3/5 Expert Mathematics Chapter 1: Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 20

यदि \(\frac{p}{q}\) सरलतम रूप में है और \(q=2^m5^n\cdot 11^r\) जहाँ (r>0) है तो दशमलव प्रसार कैसा होगा?

If \(\frac{p}{q}\) is in lowest form and \(q=2^m5^n\cdot 11^r\), where (r>0), what type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

B. असांत आवर्तीNon-terminating recurring

Step 1

Concept

A positive power of (11) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Step 2

Why this answer is correct

The correct answer is B. असांत आवर्ती / Non-terminating recurring. A positive power of (11) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Step 3

Exam Tip

सरलतम हर में (11) की धनात्मक घात बची है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा।

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Question 4/5 Expert Mathematics Chapter 1: Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 19

यदि \(\frac{p}{q}\) सरलतम रूप में है और \(q=2^m5^n\cdot 7^r\), जहाँ (r>0), तो दशमलव प्रसार कैसा होगा?

If \(\frac{p}{q}\) is in lowest form and \(q=2^m5^n\cdot 7^r\), where (r>0), what type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

B. असांत आवर्तीNon-terminating recurring

Step 1

Concept

A positive power of (7) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Step 2

Why this answer is correct

The correct answer is B. असांत आवर्ती / Non-terminating recurring. A positive power of (7) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Step 3

Exam Tip

सरलतम हर में (7) की धनात्मक घात बची है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा।

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Question 5/5 Hard Mathematics Chapter 1: Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 19

यदि किसी परिमेय संख्या का सरलतम हर \(2^r5^s\) है और (r>s), तो दशमलव प्रसार में कितने स्थान होंगे?

If a rational number has reduced denominator \(2^r5^s\) and (r>s), how many decimal places will its decimal expansion have?

Explanation opens after your attempt
Correct Answer

A. (r)

Step 1

Concept

The reduced denominator has only powers of (2) and (5).

Step 2

Why this answer is correct

The number of decimal places equals the larger exponent. Since (r>s), the larger exponent is (r).

Step 3

Exam Tip

Remember (\max(r,s)) for decimal places. चरण 1: सरलतम हर केवल (2) और (5) की घातों से बना है। चरण 2: दशमलव स्थानों की संख्या बड़ी घात के बराबर होती है। (r>s) होने पर बड़ी घात (r) है। चरण 3: दशमलव स्थान के लिए हमेशा (\max(r,s)) याद रखें।

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